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Finding the Fourth Proportional to 417,643.60, 625,428.60 and 334,699.60

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Solution

The fourth proportional to 417,643.60, 625,428.60 and 334,699.60 is: 501,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,643.60 : 625,428.60 = 334,699.60 : x
  2. Step 2: Convert to fraction form
    417,643.60/625,428.60 = 334,699.60/x
  3. Step 3: Cross multiply
    417,643.60x = 625,428.60 × 334,699.60
  4. Step 4: Simplify right side
    417,643.60x = 209,330,702,248.56
  5. Step 5: Solve for x
    x = 209,330,702,248.56/417,643.60
  6. Step 6: Final answer
    x = 501,218.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.